Artículos de revistas
On Cubic Étale Algebras
Registro en:
Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg. , v. 67, n. 1, p. 281 - 295, 1997.
255858
2-s2.0-0346540683
Autor
Knus M.-A.
Paques A.
Institución
Resumen
We describe explicitly a group structure on isomorphism classes of cubic étale algebras with prescribed discriminant. The case of trivial discriminant corresponds to the group of cubic cyclic algebras. 67 1 281 295 Greither, C., Miranda, R., Galois extensions of prime degree (1989) J. Algebra, 124, pp. 354-366 Haile, D., Knus, M.-A., Rost, M., Tignol, J.-P., Algebras of odd degree with involution, trace forms and dihedral extensions (1996) Israel J. of Math., 96 B, pp. 299-340 Kersten, I., Michaliček, J., Kubische Galoiserweiterungen mit Normalbasis (1981) Comm. in Algebra, 9, pp. 1863-1871 A characterization of Galois field extensions of degree 3 (1987) Comm. in Algebra, 15, pp. 927-933 Knus, M.-A., Merkurjev, A.A., Rost, M., Tignol, J.-P., The Book of Involutions, , In preparation Miranda, R., Galois cubic extensions of commutative rings (1989) Memoirs Amer. Math. Soc., 394, pp. 43-63 Micali, A., Paques, A., Solecki, A., Sur le groupe des extensions cubiques (1986) Lecture Notes in Math., 1197, pp. 134-141. , Proc. on Ring Theory, Antwerp 1985, Springer Extensions cubiques à base normale (1989) J. of Algebra, 126, pp. 1981-1987 Nakajima, A., On a group of cyclic extensions over commutative rings (1972) Math. J. Okayama Univ., 16, pp. 163-172 Paques, A., Solecki, A., A contribution on rational cubic Galois extensions (1989) Comm. in Algebra, 17, pp. 161-169 Petersson, H.P., Racine, M., Jordan algebras of degree 3 and the Tits process (1986) J. Algebra, 98, pp. 211-243 Classification of algebras arising from the Tits process (1986) J. Algebra, 98, pp. 244-279 Springer Forms and first Tits construction of exceptional Jordan division algebras (1984) Manuscripta Math., 45, pp. 249-272 Ulbrich, K.-H., Cubic Galois extensions of commutative rings (1990) Comm. in Algebra, 18, pp. 2275-2279 Wang, S.S., (1975) Separable Algebras and Free Cubic Extensions over Commutative Rings, , PhD Thesis, Cornell Univ